{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:UVIUJWVLU72DJWA34MPWDABBAH","short_pith_number":"pith:UVIUJWVL","schema_version":"1.0","canonical_sha256":"a55144daaba7f434d81be31f61802101d7e110fd8416339c2acfde990df47016","source":{"kind":"arxiv","id":"1007.3800","version":2},"attestation_state":"computed","paper":{"title":"A new family of shape invariantly deformed Darboux-P\\\"oschl-Teller potentials with continuous \\ell","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.CA","math.MP","nlin.SI","quant-ph"],"primary_cat":"math-ph","authors_text":"Ryu Sasaki, Satoru Odake","submitted_at":"2010-07-22T05:04:38Z","abstract_excerpt":"We present a new family of shape invariant potentials which could be called a ``continuous \\ell version\" of the potentials corresponding to the exceptional (X_{\\ell}) J1 Jacobi polynomials constructed recently by the present authors. In a certain limit, it reduces to a continuous \\ell family of shape invariant potentials related to the exceptional (X_{\\ell}) L1 Laguerre polynomials. The latter was known as one example of the `conditionally exactly solvable potentials' on a half line."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1007.3800","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-07-22T05:04:38Z","cross_cats_sorted":["hep-th","math.CA","math.MP","nlin.SI","quant-ph"],"title_canon_sha256":"5918bbaa42794637c92bc4ebfb883269e7bee47a64f54e66199512b0b480db94","abstract_canon_sha256":"a3b36b6d374151a122dd8470c6e2eb8e1362ad95acffe1d992e98704d560b512"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:56.732968Z","signature_b64":"EefEzX46ug9e/uQTMQZroE05VDNelB4j3U7o+SpIKb1pW10M7rQvUpZ1g7KjzqwKJHW40fwac5ZA1t4KviF7BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a55144daaba7f434d81be31f61802101d7e110fd8416339c2acfde990df47016","last_reissued_at":"2026-05-18T04:23:56.732582Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:56.732582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A new family of shape invariantly deformed Darboux-P\\\"oschl-Teller potentials with continuous \\ell","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.CA","math.MP","nlin.SI","quant-ph"],"primary_cat":"math-ph","authors_text":"Ryu Sasaki, Satoru Odake","submitted_at":"2010-07-22T05:04:38Z","abstract_excerpt":"We present a new family of shape invariant potentials which could be called a ``continuous \\ell version\" of the potentials corresponding to the exceptional (X_{\\ell}) J1 Jacobi polynomials constructed recently by the present authors. In a certain limit, it reduces to a continuous \\ell family of shape invariant potentials related to the exceptional (X_{\\ell}) L1 Laguerre polynomials. The latter was known as one example of the `conditionally exactly solvable potentials' on a half line."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.3800","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1007.3800","created_at":"2026-05-18T04:23:56.732641+00:00"},{"alias_kind":"arxiv_version","alias_value":"1007.3800v2","created_at":"2026-05-18T04:23:56.732641+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.3800","created_at":"2026-05-18T04:23:56.732641+00:00"},{"alias_kind":"pith_short_12","alias_value":"UVIUJWVLU72D","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"UVIUJWVLU72DJWA3","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"UVIUJWVL","created_at":"2026-05-18T12:26:15.391820+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UVIUJWVLU72DJWA34MPWDABBAH","json":"https://pith.science/pith/UVIUJWVLU72DJWA34MPWDABBAH.json","graph_json":"https://pith.science/api/pith-number/UVIUJWVLU72DJWA34MPWDABBAH/graph.json","events_json":"https://pith.science/api/pith-number/UVIUJWVLU72DJWA34MPWDABBAH/events.json","paper":"https://pith.science/paper/UVIUJWVL"},"agent_actions":{"view_html":"https://pith.science/pith/UVIUJWVLU72DJWA34MPWDABBAH","download_json":"https://pith.science/pith/UVIUJWVLU72DJWA34MPWDABBAH.json","view_paper":"https://pith.science/paper/UVIUJWVL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1007.3800&json=true","fetch_graph":"https://pith.science/api/pith-number/UVIUJWVLU72DJWA34MPWDABBAH/graph.json","fetch_events":"https://pith.science/api/pith-number/UVIUJWVLU72DJWA34MPWDABBAH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UVIUJWVLU72DJWA34MPWDABBAH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UVIUJWVLU72DJWA34MPWDABBAH/action/storage_attestation","attest_author":"https://pith.science/pith/UVIUJWVLU72DJWA34MPWDABBAH/action/author_attestation","sign_citation":"https://pith.science/pith/UVIUJWVLU72DJWA34MPWDABBAH/action/citation_signature","submit_replication":"https://pith.science/pith/UVIUJWVLU72DJWA34MPWDABBAH/action/replication_record"}},"created_at":"2026-05-18T04:23:56.732641+00:00","updated_at":"2026-05-18T04:23:56.732641+00:00"}